A Monte Carlo study of the anisotropic N=3 Ashkin-Teller model
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Data
2003-04-15
Autores
Drugowich de Felício, J. R.
Chahine, J. [UNESP]
Caticha, N.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Resumo
The phase diagram of an asymmetric N = 3 Ashkin-Teller model is obtained by a numerical analysis which combines Monte Carlo renormalization group and reweighting techniques. Present results reveal several differences with those obtained by mean-field calculations and a Hamiltonian approach. In particular, we found Ising critical exponents along a line where Goldschmidt has located the Kosterlitz-Thouless multicritical point. On the other hand, we did find nonuniversal exponents along another transition line. Symmetry breaking in this case is very similar to the N = 2 case, since the symmetries associated to only two of the Ising variables are broken. However, for large values of the coupling constant ratio XW = W/K, when the only broken symmetry is of a hidden variable, we detected first-order phase transitions giving evidence supporting the existence of a multicritical point, as suggested by Goldschmidt, but in a different region of the phase diagram. © 2002 Elsevier Science B.V. All rights reserved.
Descrição
Palavras-chave
Ashkin-Teller model, Critical exponents, Multicritical point, Anisotropy, Mathematical models, Monte Carlo methods, Phase transitions, Phase diagrams
Como citar
Physica A: Statistical Mechanics and its Applications, v. 321, n. 3-4, p. 529-542, 2003.